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Finding the Fourth Proportional to 141,225.94, 194,893.16 and 77,565.11

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Solution

The fourth proportional to 141,225.94, 194,893.16 and 77,565.11 is: 107,040.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    141,225.94 : 194,893.16 = 77,565.11 : x
  2. Step 2: Convert to fraction form
    141,225.94/194,893.16 = 77,565.11/x
  3. Step 3: Cross multiply
    141,225.94x = 194,893.16 × 77,565.11
  4. Step 4: Simplify right side
    141,225.94x = 15,116,908,613.09
  5. Step 5: Solve for x
    x = 15,116,908,613.09/141,225.94
  6. Step 6: Final answer
    x = 107,040.60

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.